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Finding the Fourth Proportional to 8,666.56, 13,001.92 and 2,823.16

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Solution

The fourth proportional to 8,666.56, 13,001.92 and 2,823.16 is: 4,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.56 : 13,001.92 = 2,823.16 : x
  2. Step 2: Convert to fraction form
    8,666.56/13,001.92 = 2,823.16/x
  3. Step 3: Cross multiply
    8,666.56x = 13,001.92 × 2,823.16
  4. Step 4: Simplify right side
    8,666.56x = 36,706,500.47
  5. Step 5: Solve for x
    x = 36,706,500.47/8,666.56
  6. Step 6: Final answer
    x = 4,235.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.